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Geometrically Frustrated Quadrupoles on the Pyrochlore Lattice and Generalized Spin Liquids
As an instance of geometrical frustration with non-magnetic degrees of freedom, we explore the physics of local spin $S\geq 1$ moments on the pyrochlore lattice that interact via pure quadrupolar couplings. In the presence of spin-orbit coupling, there are nine allowed couplings between nearest neig
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